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The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the class, initially, is:
  • a)
    16
  • b)
    11
  • c)
    21
  • d)
    26
  • e)
    Not Attempted
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average weight of a certain number of students in a class is 68.5 ...
Let the total number of students in the class be x.
⇒ Average weight of all students = 68.5 kg
Total weight of all students = 68.5x kg
Total weight of four students = (72.2 + 70.8 + 70.3 + 66.7) kg = 280 kg
According to the question,
⇒ 68.5x + 280 = 68.8 (x + 4)
⇒ 68.5x + 280 = 68.8x + 275.2
⇒ x = 16
∴ Total number of students initially is 16.
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Most Upvoted Answer
The average weight of a certain number of students in a class is 68.5 ...

Given Data:
Initial average weight of students = 68.5 kg
Weights of 4 new students = 72.2 kg, 70.8 kg, 70.3 kg, 66.7 kg
Increase in average weight = 300 g = 0.3 kg

Solution:

Let x be the number of students initially in the class.

Step 1: Initial Total Weight
Total weight of x students = 68.5 * x

Step 2: Total Weight After New Students Join
Total weight after 4 new students join = (68.5*x + 72.2 + 70.8 + 70.3 + 66.7)

Step 3: New Average Weight
New average weight = (Total weight after new students join) / (x + 4)
New average weight = (68.5x + 72.2 + 70.8 + 70.3 + 66.7) / (x + 4)

Step 4: Given Increase in Average Weight
New average weight - Initial average weight = 0.3
(68.5x + 72.2 + 70.8 + 70.3 + 66.7) / (x + 4) - 68.5 = 0.3

Step 5: Solve for x
(68.5x + 280) / (x + 4) - 68.5 = 0.3
68.5x + 280 - 68.5(x + 4) = 0.3(x + 4)
68.5x + 280 - 68.5x - 274 = 0.3x + 1.2
6 = 0.3x
x = 20

Therefore, the number of students initially in the class is 20. But since 4 new students joined, the total number of students is 20 + 4 = 24. So, the correct answer is option A (16).
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Community Answer
The average weight of a certain number of students in a class is 68.5 ...
Let the total number of students in the class be x.
⇒ Average weight of all students = 68.5 kg
Total weight of all students = 68.5x kg
Total weight of four students = (72.2 + 70.8 + 70.3 + 66.7) kg = 280 kg
According to the question,
⇒ 68.5x + 280 = 68.8 (x + 4)
⇒ 68.5x + 280 = 68.8x + 275.2
⇒ x = 16
∴ Total number of students initially is 16.
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The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the class, initially, is:a)16b)11c)21d)26e)Not AttemptedCorrect answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the class, initially, is:a)16b)11c)21d)26e)Not AttemptedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of a certain number of students in a class is 68.5 kg. If 4 new students having weights 72.2 kg, 70.8 kg, 70.3 kg and 66.7 kg join the class, then the average weight of all the students increases by 300 g. The number of students in the class, initially, is:a)16b)11c)21d)26e)Not AttemptedCorrect answer is option 'A'. Can you explain this answer?.
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